Whakaoti i te -2-3x/6+1/12=-3/4+4x-5/2

$$- \frac { 2 - 3 x } { 6 } + \frac { 1 } { 12 } = - \frac { 3 } { 4 } + \frac { 4 x - 5 } { 2 }$$

Whakaoti mō x

$$x=2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 6,12,4,2.

$$-2\left(2-3x\right)+1=-9+6\left(4x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 2-3x.

$$-4+6x+1=-9+6\left(4x-5\right)$$

Tāpirihia te -4 ki te 1, ka -3.

$$-3+6x=-9+6\left(4x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 4x-5.

$$-3+6x=-9+24x-30$$

Tangohia te 30 i te -9, ka -39.

$$-3+6x=-39+24x$$

Tangohia te 24x mai i ngā taha e rua.

$$-3+6x-24x=-39$$

Pahekotia te 6x me -24x, ka -18x.

$$-3-18x=-39$$

Me tāpiri te 3 ki ngā taha e rua.

$$-18x=-39+3$$

Tāpirihia te -39 ki te 3, ka -36.

$$-18x=-36$$

Whakawehea ngā taha e rua ki te -18.

$$x=\frac{-36}{-18}$$

Whakawehea te -36 ki te -18, kia riro ko 2.

$$x=2$$